Finding Absolute Maximum and Minimum Values - Absolute Extrema

This calculus video tutorial explains how to find the absolute maximum and minimum values of a function on a closed interval. Tto find the absolute extrema, you need to find the relative extrema by finding the first derivative of the function and the critical numbers. Plot the critical numbers on a number line to create sign chart. Using the sign chart and the first derivative test, determine what type of relative extrema is present - if it's a relative maximum or a relative minimum. Next, place the critical numbers and the endpoints of the closed interval into an x y data table and compare the y values. The absolute maximum contains highest y value and the absolute minimum has the lowest y value.

Introduction to Limits:
   • Calculus 1 - Introduction to Limits  

Derivatives - Fast Review:
   • Calculus 1 - Derivatives  

Introduction to Related Rates:
   • Introduction to Related Rates  

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Extreme Value Theorem:
   • Extreme Value Theorem  

Finding Critical Numbers:
   • Finding Critical Numbers  

Local Maximum & Minimum:
   • Finding Local Maximum and Minimum Val...  

Absolute Extrema:
   • Finding Absolute Maximum and Minimum ...  

Rolle's Theorem:
   • Rolle's Theorem  

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Mean Value Theorem:
   • Mean Value Theorem  

Increasing and Decreasing Functions:
   • Increasing and Decreasing Functions -...  

First Derivative Test:
   • First Derivative Test  

Concavity & Inflection Points:
   • Concavity, Inflection Points, and Sec...  

Second Derivative Test:
   • Second Derivative Test  

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L'Hopital's Rule:
   • L'hopital's rule  

Curve Sketching With Derivatives:
   • Curve Sketching - Graphing Functions ...  

Newton's Method:
   • Newton's Method  

Optimization Problems:
   • Optimization Problems - Calculus  

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